In this paper, the operators of fractional integration introduced by Marichev-Saigo-Maeda involving Appell's function F 3 (·) are applied, and several new image formulas of generalized Lommel–Wright ...

The study of inequalities and integral operators in convex analysis has evolved into a rich field that unites classical methods with modern extensions. At its core, convex analysis examines functions ...

The Journal of Integral Equations and Applications, Vol. 15, No. 3 (FALL 2003), pp. 263-320 (58 pages) ...

Abstract: The operator-based signal separation approach uses an adaptive operator to separate a signal into a set of additive subcomponents. In this paper, we show that differential operators and ...

Federal Highway Mexico-Cuautla “La Candelaria”, Chalco, Mexico. Headquarters of Computational Systems Engineering, TESCHA, Federal Highway Mexico-Cuautla “La Candelaria”, Chalco, Mexico. Research ...

Baotou Teacher’s College of Inner Mongolia University of Science and Technology, Baotou, China. The boundedness of fractional integral operators on the classical Morrey spaces was studied by Adams [8] ...

Abstract The main object of this paper is to give sufficient conditions for certain families of integral operators, which are defined here by means of the normalized form of the generalized Bessel ...

PINNIES is a Python package designed to solve mathematical problems that involve integral operators such as Fredholm, Volterra, or fractional derivatives using Physics-Informed Neural Networks (PINNs) ...

The next-generation AI platform operates in both digital and physical worlds. MENLO PARK, Calif. - Feb. 20, 2025 - Integral AI has announced Genesis, a platform designed to generate, deploy and manage ...

In view of the commentary by Kiryakova [1] regarding our paper Agarwal et al. [2] published in “Frontiers in Physics” (2018), we reply to the commentary by proving the worth of our results and ...

Abstract: Point operators can control the certainty of aggregated arguments and get more intensive information in the process of decision making, and Choquet integral operator can consider ...